Selected quad for the lemma: end_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
end_n	draw_v	line_n	perpendicular_a	3,095	5	14.0786	5	true

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A52121	The description of a plain instrument that with much ease and exactness will discover the situation of any vertical plane, howsoever inclining, reclining, or declining and how to draw a dyal upon any such plane or upon the face of any vertical body, how irregular soever : together with several other things requisite to the art of dyaling / by A. M.	Martindale, Adam, 1623-1686.	1668 (1668)	Wing M855; ESTC R26189	6,921	19

the_o description_n of_o a_o plain_a instrument_n that_o with_o much_o ease_n and_o exactness_n will_v discover_v the_o situation_n of_o any_o vertical_a plane_n howsoever_o incline_v recline_a or_o decline_v and_o how_o to_o draw_v a_o dyal_n upon_o any_o such_o plane_n or_o upon_o the_o face_n of_o any_o vertical_a body_n how_o irregular_a soever_o together_o with_o several_a other_o thing_n requisite_a to_o the_o art_n of_o dyal_v by_o a._n m._n london_n print_v for_o j._n conier_n at_o the_o raven_n in_o '_o ducklane_n 1668._o the_o description_n of_o a_o plain_a instrument_n that_o with_o much_o ease_n and_o exactness_n will_v discover_v the_o situation_n of_o any_o vertical_a plane_n howsoever_o incline_v recline_a or_o decline_v and_o how_o to_o draw_v a_o dyal_n upon_o any_o such_o plane_n or_o upon_o the_o face_n of_o any_o vertical_a body_n how_o irregular_a soever_o together_o with_o several_a other_o thing_n requisite_a to_o the_o art_n of_o dyall_v the_o instrument_n consist_v of_o two_o main_a part_n a_o basis_n and_o a_o dyal_n the_o basis_n may_v be_v a_o plate_n of_o brass_n or_o a_o piece_n of_o wood_n smooth_v wrought_v and_o of_o one_o thickness_n throughout_o perfect_o square_a and_o divide_v into_o 4_o little_a square_n by_o 2_o right_a line_n cut_v each_o other_o at_o right_a angle_n in_o the_o precise_a middle_n one_o be_v mark_v with_o w._n e._n for_o west_n and_o east_n and_o the_o other_o with_o n._n s._n for_o the_o north_n and_o south_n which_o latter_a line_n represent_v the_o meridian_n when_o the_o dyal_n stand_v in_o its_o most_o natural_a position_n but_o it_o be_v more_o ordinary_a use_n will_v be_v to_o represent_v the_o axis_n of_o the_o plane_n upon_o the_o intersection_n of_o these_o two_o line_n as_o upon_o a_o centre_n must_v be_v describe_v one_o circle_n or_o more_o two_o quadrant_n whereof_o from_o n._n both_o way_n be_v to_o be_v divide_v into_o degree_n if_o not_o small_a part_n and_o distinguish_v by_o figure_n as_o the_o degree_n of_o quadrant_n usual_o be_v the_o edge_n of_o the_o basis_n note_v with_o n._n i_o shall_v for_o distinction_n sake_n call_v the_o fiducial_a edge_n so_o much_o for_o the_o basis_n the_o dyal_n be_v a_o perfect_a horizontal_a one_o fit_v to_o the_o latitude_n of_o the_o place_n where_o it_o be_v presume_v it_o will_v be_v most_o use_v the_o plate_n of_o the_o dyal_n exact_o circular_a and_o have_v the_o same_o common_a centre_n with_o the_o hour_n circle_n and_o the_o utmost_a edge_n of_o the_o dyal-plate_n almost_o touch_v the_o circle_n of_o the_o basis_n whereof_o 2_o quadrant_n be_v divide_v as_o aforesaid_a through_o the_o centre_n of_o the_o dyal_n be_v a_o small_a pin_n drive_v or_o screw_v into_o the_o basis_n at_o the_o centre_n fasten_v the_o dyal_n to_o the_o basis_n yet_o so_o as_o it_o may_v turn_v about_o somewhat_o strait_o and_o another_o pin_n so_o contrive_v as_o to_o fix_v the_o dyal_n at_o pleasure_n in_o any_o position_n from_o the_o former_a of_o which_o pin_n a_o thread_n of_o of_o strong_a silk_n issue_v at_o the_o centre_n of_o the_o dyal_n upon_o some_o convenient_a place_n of_o the_o gnomon_n be_v a_o line_n draw_v perpendicular_a to_o the_o dyal-plate_n with_o a_o thread_n and_o plummet_n fit_v to_o it_o and_o fall_v upon_o a_o large_a arch_n of_o a_o circle_n divide_v both_o way_n from_o the_o say_a line_n into_o degree_n and_o part_n for_o show_v the_o inclination_n and_o reclination_n of_o planes_n and_o at_o the_o low_a edge_n of_o the_o gnomon_n the_o north_n end_n have_v a_o sharp_a point_n or_o index_n and_o another_o at_o the_o opposite_a end_n of_o the_o meridian_n line_n i_o shall_v call_v the_o counter-index_n serve_v to_o point_v out_o declination_n it_o be_v convenient_a to_o have_v the_o uppe_n edge_n of_o the_o gnomon_n long_o and_o when_o the_o instrument_n must_v be_v place_v far_o from_o the_o plane_n as_o in_o some_o case_n it_o will_v fall_v out_o it_o be_v good_a to_o lengthen_v out_o the_o gnomon_n and_o hour-line_n in_o the_o operation_n by_o apply_v thereunto_o a_o fine_a straight_a rule_n and_o the_o same_o course_n will_v be_v convenient_a when_o the_o instrument_n be_v a_o very_a little_a one_o there_o be_v beside_o belong_v to_o it_o a_o plate_n and_o a_o needle_n the_o plate_n may_v be_v of_o fine_a thin_a brass_n or_o tin-plate_n smooth_a and_o pure_o flat_a cut_v at_o right_a angle_n of_o the_o form_n of_o a_o octavo_n leaf_n but_o somewhat_o long_o with_o a_o long_a notch_n towards_o the_o middle_n cut_v out_o about_o the_o length_n of_o the_o three_o part_n of_o the_o diameter_n of_o the_o dyal_n or_o scarce_o so_o much_o and_o of_o what_o depth_n you_o please_v provide_v it_o be_v deep_a enough_o to_o give_v way_n that_o the_o notch_a edge_n may_v touch_v the_o line_n of_o vi_o without_o disturbance_n from_o the_o pin_n in_o the_o centre_n of_o the_o dyal_n the_o needle_n must_v be_v hafted_a and_o frame_v much_o after_o the_o fashion_n of_o a_o shoemaker_n small_a awl_n but_o long_o and_o more_o bow_v with_o a_o little_a straight_a point_n have_v a_o eye_n in_o it_o like_o a_o sadlexs_n bodkin_n the_o use_n of_o the_o aforesaid_a instrument_n 1._o to_o draw_v a_o horizontal_a line_n fix_v the_o dial_n on_o the_o basis_n with_o the_o index_n upon_o either_o of_o the_o cross_a line_n then_o turn_v the_o instrument_n with_o the_o graduated_a side_n of_o the_o gnomon_n towards_o you_o set_v the_o opposite_a edge_n to_o the_o plane_n and_o hold_v it_o so_o as_o the_o thread_n play_v at_o liberty_n fall_v direct_o on_o the_o perpendicular_a line_n you_o may_v by_o the_o edge_n of_o the_o instrunent_a touch_v the_o plane_n draw_v a_o horizontal_a or_o level_a line_n 2._o to_o draw_v a_o perpendicular_a line_n draw_v first_o a_o horizontal_n line_n and_o lay_v the_o back_n side_n of_o the_o instrument_n or_o the_o plate_n close_o to_o the_o plane_n till_o the_o upper_a edge_n touch_v that_o line_n all_o along_o you_o shall_v have_v 2_o edge_n to_o guide_v you_o at_o your_o choice_n to_o draw_v a_o perpendicular_a line_n 3._o to_o draw_v a_o meridian_n line_n fix_v the_o instrument_n horizontal_o and_o set_v the_o dial_n to_o the_o true_a hour_n of_o the_o day_n then_o will_v the_o thread_n lay_v upon_o the_o meridian_n line_n of_o the_o dial_n and_o extend_v at_o pleasure_n give_v you_o a_o meridian_n line_n upon_o any_o horizontal_n plane_n that_o it_o can_v touch_v and_o by_o the_o help_n of_o a_o thread_n and_o plummet_n upon_o any_o plane_n above_o or_o below_o the_o extend_a thread_n 4._o to_o find_v the_o sun_n azimuth_n fix_v the_o dial_n upon_o the_o basis_n with_o the_o index_n stand_v over_o the_o line_n n._n s._n at_o n._n then_o turn_v about_o the_o whole_a instrument_n till_o stand_v horizontal_o it_o give_v you_o the_o true_a time_n of_o the_o day_n which_o you_o must_v first_o know_v by_o some_o good_a double_a ring-diall_n or_o otherwise_o fix_v the_o basis_n also_o to_o some_o stable_a thing_n by_o nail_n drive_v through_o hole_n make_v in_o the_o angle_n thereof_o to_o that_o purpose_n and_o draw_v up_o perpendicular_o so_o much_o of_o your_o thread_n at_o the_o centre_n of_o the_o dial_n as_o will_v suffice_v to_o cast_v the_o shadow_n upon_o the_o circle_n of_o the_o basis_n the_o degree_n or_o part_n cut_v by_o that_o shadow_n be_v the_o azimuth_n from_o the_o south_n and_o its_o compliment_n to_o a_o quadrant_a the_o azimuth_n from_o east_n or_o west_n but_o if_o the_o shadow_n of_o the_o thread_n fall_v not_o upon_o either_o of_o the_o divide_a quadrant_n but_o near_a towards_o the_o letter_n s._n then_o turn_v about_o the_o dial_n the_o basis_n remain_v fix_v till_o the_o index_n stand_v upon_o the_o line_n w._n e._n at_o e._n or_o w._n as_o occasion_n be_v that_o be_v at_o e._n in_o the_o morning_n at_o w._n in_o the_o evening_n then_o will_v the_o shadow_n give_v you_o the_o sun_n azimuth_n from_o the_o east_n or_o west_n point_n and_o that_o add_v to_o 90_o degree_n be_v his_o azimuth_n from_o the_o south_n and_o subduct_v from_o 90_o degree_n it_o give_v his_o azimuth_n from_o the_o north._n 5._o to_o find_v the_o sun_n altitude_n or_o almicantar_n let_v the_o index_n be_v place_v over_o one_o of_o the_o great_a cross_a line_n of_o the_o basis_n and_o a_o line_n draw_v upon_o the_o gnomon_n meet_v the_o perpendicular_a at_o right_a angle_n in_o the_o centre_n or_o hole_n for_o the_o thread_n then_o hold_v that_o edge_n to_o which_o the_o index_n look_v horizontal_o and_o erect_v a_o pin_n perpendicular_o in_o the_o say_a hole_n hold_v up_o or_o depress_v the_o opposite_a edge_n till_o the_o shadow_n of_o the_o say_a pin_n run_v along_o the_o line_n then_o will_v the_o thread_n play_v at_o liberty_n fall_v upon_o the_o degree_n and_o

part_n of_o the_o sun_n height_n above_o the_o horizon_n 6._o to_o find_v the_o unknown_a latitude_n of_o a_o place_n the_o hour_n be_v give_v draw_v a_o meridian_n line_n by_o the_o rule_n of_o art_n as_o mathematician_n teach_v which_o be_v too_o long_o to_o be_v here_o recite_v then_o place_v the_o meridian_n of_o the_o dyal_n upon_o the_o meridian_n so_o draw_v and_o lift_v up_o the_o south_n or_o north_n end_n of_o the_o dyal_n basis_n and_o all_o except_o you_o have_v take_v the_o dyal_n off_o from_o the_o basis_n till_o the_o shadow_n give_v you_o the_o true_a time_n of_o the_o day_n the_o thread_n will_v show_v how_o many_o degree_n and_o part_n the_o latitude_n of_o the_o place_n where_o your_o work_n be_v to_o be_v perform_v be_v more_o or_o less_o than_o the_o know_a latitude_n of_o that_o place_n for_o which_o the_o dyal_n be_v project_v but_o for_o this_o purpose_n the_o dyal_n shall_v be_v large_a and_o the_o time_n of_o the_o day_n a_o great_a space_n from_o noon_n 7._o to_o find_v the_o inclination_n or_o reclination_n of_o a_o plane_n apply_v the_o plate_n to_o the_o plain_a flat_a side_n of_o the_o gnomon_n or_o stile_n so_o as_o the_o long_a edge_n may_v rest_v upon_o the_o dyal-plate_n and_o the_o short_a edge_n reach_v just_a to_o the_o edge_n of_o the_o basis_n towards_o which_o the_o index_n point_v stand_v upon_o one_o of_o the_o cross_a line_n of_o the_o basis_n then_o have_v draw_v a_o horizontal_a line_n upon_o the_o plane_n apply_v thereunto_o the_o edge_n of_o the_o basis_n with_o the_o plate_n so_o place_v upon_o it_o in_o such_o sort_n as_o that_o the_o short_a edge_n of_o the_o plate_n may_v rest_v all_o along_o upon_o the_o plane_n then_o will_v the_o thread_n play_v at_o liberty_n show_v upon_o the_o other_o side_n of_o the_o style_n the_o degree_n and_o part_n of_o inclination_n or_o reclination_n viz._n of_o inclination_n when_o the_o thread_n fall_v between_o the_o perpendicular_a line_n and_o centre_n of_o the_o dyal_n of_o reclination_n when_o the_o say_a thread_n fall_v between_o the_o perpendicular_a line_n and_o the_o index_n the_o quantity_n of_o the_o angle_n be_v ever_o reckon_v from_o the_o perpendicular_a to_o the_o place_n cut_v by_o the_o thread_n 8_o to_o find_v the_o declination_n of_o a_o plane_n apply_v the_o fiducial_a edge_n of_o the_o basis_n with_o the_o index_n set_v towards_o it_o upon_o the_o line_n n._n s._n to_o a_o horizontal_a line_n draw_v upon_o the_o plane_n so_o as_o the_o plummet_n hang_v at_o liberty_n the_o thread_n will_v fall_v upon_o the_o perpendicular_a line_n the_o dyal_n be_v fit_v to_o the_o latitude_n of_o the_o place_n where_o it_o be_v to_o be_v use_v then_o turn_v about_o the_o dyal_n till_o by_o the_o sun_n shine_v upon_o it_o it_o show_v the_o right_a time_n of_o the_o day_n and_o upon_o one_o of_o the_o divide_a quadrant_n you_o shall_v find_v either_o the_o index_n point_v out_o the_o declination_n of_o the_o axis_n of_o the_o plane_n from_o the_o south_n towards_o the_o east_n or_o west_n or_o the_o counter-index_n show_v the_o declination_n from_o north_n towards_o the_o east_n or_o west_n always_o reckon_v the_o degree_n and_o part_n from_o n._n where_o the_o degree_n begin_v a_o caution_n if_o your_o dial_n be_v for_o another_o latitude_n considerable_o differ_v you_o must_v both_o in_o this_o and_o the_o follow_a case_n so_o hold_v your_o instrument_n that_o upon_o the_o arch_n on_o the_o gnomon_n so_o many_o degree_n and_o part_n may_v be_v cut_v by_o the_o thread_n from_o the_o perpendicular_a line_n towards_o the_o index_n as_o the_o latitude_n of_o the_o place_n for_o which_o the_o dial_n be_v make_v be_v great_a than_o that_o where_o it_o be_v use_v or_o contrary_o so_o many_o degree_n and_o part_n from_o the_o perpendicular_a line_n towards_o the_o centre_n of_o the_o dial_n as_o the_o latitude_n for_o which_o the_o dial_n be_v draw_v be_v less_o than_o of_o the_o place_n where_o you_o make_v use_v of_o it_o this_o caution_n be_v ever_o to_o be_v understand_v when_o i_o speak_v of_o place_v the_o instrument_n horizontal_o 9_o to_o draw_v a_o true_a dial_n speedy_o without_o skill_n in_o the_o mathematics_n upon_o any_o erect_v plain_a or_o irregular_a face_n of_o a_o body_n be_v situate_a more_o southerly_a than_o the_o east_n or_o west_n point_n viz._n when_o the_o index_n show_v the_o declination_n place_v the_o instrument_n horizontal_o upon_o a_o table_n or_o some_o other_o stable_a thing_n and_o have_v fix_v the_o basis_n turn_v about_o the_o dial_n to_o the_o true_a time_n of_o the_o day_n and_o fix_v it_o also_o by_o the_o pin_n make_v for_o that_o purpose_n then_o draw_v out_o the_o thread_n at_o the_o centre_n of_o the_o dial_n straight_o along_o the_o upper_a edge_n of_o the_o gnomon_n till_o it_o touch_v the_o place_n where_o the_o dial_n must_v be_v make_v the_o point_n so_o touch_v by_o the_o thread_n shall_v be_v the_o centre_n of_o your_o dial_n and_o the_o thread_n draw_v out_o straight_o show_v the_o angle_n and_o form_n of_o the_o gnomon_n then_o lay_v the_o thread_n upon_o all_o the_o hour_n half-hour_n and_o quarter_n which_o the_o plane_n or_o other_o face_n will_v receive_v and_o draw_v the_o thread_n out_o straight_o and_o perfect_o even_o with_o the_o dyall-plate_n till_o it_o touch_v the_o plain_a or_o other_o face_n make_v point_n where_o it_o touch_v by_o which_o and_o the_o centre_n of_o the_o dial_n you_o may_v draw_v all_o the_o hour_n line_n and_o mark_v out_o the_o half-hour_n and_o quarter_n here_o once_o for_o all_o note_n these_o 3_o thing_n 1._o that_o be_v good_a to_o try_v before_o you_o fix_v the_o instrument_n where_o the_o centre_n of_o the_o dial_n will_v be_v removing_z the_o instrument_n backward_o and_o forward_o till_o the_o thread_n she_o where_o you_o will_v have_v it_o and_o if_o by_o this_o mean_v the_o instrument_n stand_v far_o off_o from_o your_o work_n you_o may_v by_o a_o ruler_n or_o plate_n lay_v even_o so_o far_o as_o you_o can_v apply_v it_o with_o the_o edge_n of_o the_o style_n guide_v the_o thread_n more_o perfect_o the_o same_o course_n be_v to_o be_v hold_v when_o the_o instrment_n be_v very_o small_a 2._o if_o you_o draw_v out_o the_o thread_n at_o the_o centre_n of_o the_o dial_n along_o the_o meridian_n line_n straight_o over_o the_o index_n till_o it_o touch_v the_o plane_n it_o will_v give_v you_o a_o point_n by_o which_o and_o the_o centre_n of_o the_o dial_n you_o may_v draw_v a_o line_n which_o shall_v be_v your_o substyle_n where_o the_o foot_n of_o your_o style_n or_o gnomon_n must_v stand_v 3_o if_o you_o apply_v the_o long_a edge_n of_o the_o plate_n to_o the_o substyle_n and_o lay_v the_o flat_a side_n to_o the_o thread_n draw_v out_o straight_o from_o the_o centre_n of_o the_o dial_n along_o the_o upper_a edge_n of_o the_o gnomon_n till_o it_o touch_v the_o plane_n in_o the_o centre_n for_o the_o new_a dial_n as_o aforesaid_a you_o may_v by_o your_o pen_n pencil_n or_o the_o like_a 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